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Finding the Fourth Proportional to 6,544, 9,818.16 and 2,646.28

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Solution

The fourth proportional to 6,544, 9,818.16 and 2,646.28 is: 3,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544 : 9,818.16 = 2,646.28 : x
  2. Step 2: Convert to fraction form
    6,544/9,818.16 = 2,646.28/x
  3. Step 3: Cross multiply
    6,544x = 9,818.16 × 2,646.28
  4. Step 4: Simplify right side
    6,544x = 25,981,600.44
  5. Step 5: Solve for x
    x = 25,981,600.44/6,544
  6. Step 6: Final answer
    x = 3,970.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.